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Finding the Fourth Proportional to 5,223.74, 7,817.30 and 3,744.59

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Solution

The fourth proportional to 5,223.74, 7,817.30 and 3,744.59 is: 5,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.74 : 7,817.30 = 3,744.59 : x
  2. Step 2: Convert to fraction form
    5,223.74/7,817.30 = 3,744.59/x
  3. Step 3: Cross multiply
    5,223.74x = 7,817.30 × 3,744.59
  4. Step 4: Simplify right side
    5,223.74x = 29,272,583.41
  5. Step 5: Solve for x
    x = 29,272,583.41/5,223.74
  6. Step 6: Final answer
    x = 5,603.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.